Prove that the intervals A = ( \ infty , 0 ) and B = ( 9 9 . 9 , 1 0 0 ) have the same cardinality, by either: - Finding a bijective function that maps one set to the other ( prove this function is bijective and find its inverse ) , or - Finding two injective functions, one that maps A to B and one that maps B to A ( prove both are injective and explain briefly why this works )